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228150780 = 2235111326591
BaseRepresentation
bin11011001100101…
…00110111111100
3120220022021000220
431212110313330
5431401311110
634350021340
75440151424
oct1546246774
9526267026
10228150780
11107870070
12644a7850
1338362680
142242d484
151506a370
hexd994dfc

228150780 has 96 divisors (see below), whose sum is σ = 750532608. Its totient is φ = 51052800.

The previous prime is 228150763. The next prime is 228150787. The reversal of 228150780 is 87051822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228150787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4716 + ... + 21875.

It is an arithmetic number, because the mean of its divisors is an integer number (7818048).

Almost surely, 2228150780 is an apocalyptic number.

228150780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228150780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375266304).

228150780 is an abundant number, since it is smaller than the sum of its proper divisors (522381828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228150780 is a wasteful number, since it uses less digits than its factorization.

228150780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26627 (or 26625 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 228150780 is about 15104.6608700758. The cubic root of 228150780 is about 611.0461132217.

The spelling of 228150780 in words is "two hundred twenty-eight million, one hundred fifty thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 8580 26591 53182 79773 106364 132955 159546 265910 292501 319092 345683 398865 531820 585002 691366 797730 877503 1037049 1170004 1382732 1462505 1595460 1728415 1755006 2074098 2925010 3456830 3510012 3802513 4148196 4387515 5185245 5850020 6913660 7605026 8775030 10370490 11407539 15210052 17550060 19012565 20740980 22815078 38025130 45630156 57037695 76050260 114075390 228150780